Divisibility Rule of 271

The divisibility rule for 271 is a method by which we can find out if a number is divisible by 271 or not without using the division method. Check whether 8131 is divisible by 271 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 25, here in 8131, 1 is the last digit, multiply it by 25. 1 × 25 = 25 

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 813–25 = 788.

Step 3: As it is shown that 788 is not a multiple of 271, therefore, the number is not divisible by 271. If the result from step 2 is a multiple of 271, then the number is divisible by 271.
 

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 271.

Know the multiples of 271:

Memorize the multiples of 271 (271, 542, 813, 1084, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 271, then the number is divisible by 271.

Use negative numbers:

If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 271. For example: Check if 18819 is divisible by 271 using the divisibility test. Multiply the last digit by 25, i.e., 9 × 25 = 225. Subtract the remaining digits excluding the last digit by 225, 1881–225 = 1656. Still, 1656 is a large number, hence we will repeat the process again and multiply the last digit by 25, 6 × 25 = 150. Now subtracting 150 from the remaining numbers excluding the last digit, 165–150 = 15. As 15 is not a multiple of 271, 18819 is not divisible by 271.

Use the division method to verify:

Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with even numbers.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 271 are 271, 542, 813, 1084, etc.

• Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.

• Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.

• Verification: The process of checking the correctness of a calculation, often by using an alternative method such as direct division.